A Nonlinear and Non-Ideal Wind Generator Supporting Structure

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We present a simple mathematical model of a wind turbine supporting tower. Here, the wind excitation is considered to be a non-ideal power source. In such a consideration, there is interaction between the energy supply and the motion of the supporting structure. If power is not enough, the rotation of the generator may get stuck at a resonance frequency of the structure. This is a manifestation of the so-called Sommerfeld Effect. In this model, at first, only two degrees of freedom are considered, the horizontal motion of the upper tip of the tower, in the transverse direction to the wind, and the generator rotation. Next, we add another degree of freedom, the motion of a free rolling mass inside a chamber. Its impact with the walls of the chamber provides control of both the amplitude of the tower vibration and the width of the band of frequencies in which the Sommerfeld effect occur. Some numerical simulations are performed using the equations of motion of the models obtained via a Lagrangian approach.

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Edited by:

Patrick Sean Keogh

Pages:

433-442

Citation:

R. M. L. R. da F. Brasil et al., "A Nonlinear and Non-Ideal Wind Generator Supporting Structure", Applied Mechanics and Materials, Vols. 5-6, pp. 433-442, 2006

Online since:

October 2006

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$38.00

[1] J.M. Balthazar, R.M.L.R.F. Brasil and F.J. Garzeri: On non-ideal simple portal frame structural model: experimental results under non-ideal excitation. Applied Mechanics and Materials, Vols. 1-2 (2004), 51-58.

DOI: https://doi.org/10.4028/www.scientific.net/amm.1-2.51

[2] S. Chaterjee, A.K. Mallik and A. Ghosh: On Impact dampers for non-linear vibration systems. Journal of Sound and Vibration, Vol. 187 (1995), 403-420.

DOI: https://doi.org/10.1006/jsvi.1995.0532

[3] S. Chaterjee, A.K. Mallik and A. Ghosh: Impact dampers for controlling self-excited oscillations. Journal of Sound and Vibration, Vol. 193 (1995), 1003-1014.

DOI: https://doi.org/10.1006/jsvi.1996.0327

[4] M.R. Duncan, C.R. Wassgren and C. M Krousgrill: The damping performance of a single particle impact damper. Journal of Sound and Vibration (article in press).

DOI: https://doi.org/10.1016/j.jsv.2004.09.028

[5] V.O. Kononenko: Vibrating Systems with Limited Power Supply. London, 1969, Iliffe Books.

[6] I. Lavassas, G. Nikolaidis, P. Zervas, E. Efthimiou, I.N. Doudoumis and C.C. Baniotopoulos: Analysis and design of the prototype of a steel 1-MW wind turbine tower. Engineering Structures, Vol. 25 (2003) 1097-1106.

DOI: https://doi.org/10.1016/s0141-0296(03)00059-2

[7] Kun S. Marhadi and K. Vikram: Particle impact damping: effect of mass ratio, material, and shape. Journal of Sound and Vibration, Vol. 283 (2005)433 -448.

DOI: https://doi.org/10.1016/j.jsv.2004.04.013

[8] A.B. Nordmark: Non-periodic motion caused by grazing in a impact oscillator. Journal of Sound and Vibration, Vol. 145 (1991), 279-297.

DOI: https://doi.org/10.1016/0022-460x(91)90592-8

[9] M. Saeki: Impact damping with granular materials in a horizontally vibrating system. Journal of Sound and Vibration, Vol. 251 (2002), 153-161.

DOI: https://doi.org/10.1006/jsvi.2001.3985

[10] S.L.T. Souza, I.L. Caldas, J.M. Balthazar and R.M.L.R.F. Brasil: Analysis of regular and irregular dynamics of a non-ideal gear-rattling problem. Journal of the Brazilian Society of Mechanical Sciences, Vol. 24 (2002), 111-114.

DOI: https://doi.org/10.1590/s0100-73862002000200005

[11] S.L.T. Souza, I.L. Caldas, J.M. Balthazar and R.M.L.R.F. Brasil: 2005. Impact dampers for controlling chaos in systems with limited power supply. Journal of Sound and Vibration, Vol. 279 (2005) 955-967.

DOI: https://doi.org/10.1016/j.jsv.2003.11.068

[12] J. Warminski, J.M. Balthazar and R.M.L.R.F. Brasil: Vibrations of a non-ideal parametrically and self-excited model. Journal of Sound and Vibration, Vol. 245 (2001) 363-374.

DOI: https://doi.org/10.1006/jsvi.2000.3515

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